抄録
The present paper is devoted to giving the existence and uniqueness theorem
on disintegrations of operator valued weights by applying Sutherland’s theorem
on disintegrations of weights on a von Neumann algebra. To do so, we study the
measurability and the integration of a field of operator valued weights. The results
obtained here are expected to be useful for discussing reductions of inclusion relations
of von Neumann subalgebras.